Highest Common Factor of 4013, 3146 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4013, 3146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4013, 3146 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4013, 3146 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4013, 3146 is 1.
HCF(4013, 3146) = 1
HCF of 4013, 3146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4013, 3146 is 1.
Highest Common Factor of 4013,3146 is 1
Step 1: Since 4013 > 3146, we apply the division lemma to 4013 and 3146, to get
4013 = 3146 x 1 + 867
Step 2: Since the reminder 3146 ≠ 0, we apply division lemma to 867 and 3146, to get
3146 = 867 x 3 + 545
Step 3: We consider the new divisor 867 and the new remainder 545, and apply the division lemma to get
867 = 545 x 1 + 322
We consider the new divisor 545 and the new remainder 322,and apply the division lemma to get
545 = 322 x 1 + 223
We consider the new divisor 322 and the new remainder 223,and apply the division lemma to get
322 = 223 x 1 + 99
We consider the new divisor 223 and the new remainder 99,and apply the division lemma to get
223 = 99 x 2 + 25
We consider the new divisor 99 and the new remainder 25,and apply the division lemma to get
99 = 25 x 3 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4013 and 3146 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(99,25) = HCF(223,99) = HCF(322,223) = HCF(545,322) = HCF(867,545) = HCF(3146,867) = HCF(4013,3146) .
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Frequently Asked Questions on HCF of 4013, 3146 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4013, 3146?
Answer: HCF of 4013, 3146 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4013, 3146 using Euclid's Algorithm?
Answer: For arbitrary numbers 4013, 3146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.